Worldline construction of a covariant chiral kinetic theory
Abstract
Here, we discuss a novel worldline framework for computations of the chiral magnetic effect (CME) in ultrarelativistic heavy-ion collisions. Starting from the fermion determinant in the QCD effective action, we show explicitly how its real part can be expressed as a supersymmetric worldline action of spinning, colored, Grassmannian particles in background fields. Restricting ourselves for simplicity to spinning particles, we demonstrate how their constrained Hamiltonian dynamics arises for both massless and massive particles. In a semiclassical limit, this gives rise to the covariant generalization of the Bargmann-Michel-Telegdi equation; the derivation of the corresponding Wong equations for colored particles is straightforward. In a previous paper [N. Mueller and R. Venugopalan, arXiv:1701.03331.], we outlined how Berry’s phase arises in a nonrelativistic adiabatic limit for massive particles. We extend the discussion here to systems with a finite chemical potential. We discuss a path integral formulation of the relative phase in the fermion determinant that places it on the same footing as the real part. We construct the corresponding anomalous worldline axial-vector current and show in detail how the chiral anomaly appears. Our work provides a systematic framework for a relativistic kinetic theory of chiral fermions in the fluctuating topological backgrounds that generate themore »
- Authors:
-
- Heidelberg Univ. (Germany). Inst. for Theoretische Physik
- Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1413921
- Alternate Identifier(s):
- OSTI ID: 1373136
- Report Number(s):
- BNL-114418-2017-JA
Journal ID: ISSN 2470-0010; PRVDAQ; R&D Project: KB0301020; KB0301020; TRN: US1800583
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 1; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Mueller, Niklas, and Venugopalan, Raju. Worldline construction of a covariant chiral kinetic theory. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.96.016023.
Mueller, Niklas, & Venugopalan, Raju. Worldline construction of a covariant chiral kinetic theory. United States. https://doi.org/10.1103/PhysRevD.96.016023
Mueller, Niklas, and Venugopalan, Raju. Thu .
"Worldline construction of a covariant chiral kinetic theory". United States. https://doi.org/10.1103/PhysRevD.96.016023. https://www.osti.gov/servlets/purl/1413921.
@article{osti_1413921,
title = {Worldline construction of a covariant chiral kinetic theory},
author = {Mueller, Niklas and Venugopalan, Raju},
abstractNote = {Here, we discuss a novel worldline framework for computations of the chiral magnetic effect (CME) in ultrarelativistic heavy-ion collisions. Starting from the fermion determinant in the QCD effective action, we show explicitly how its real part can be expressed as a supersymmetric worldline action of spinning, colored, Grassmannian particles in background fields. Restricting ourselves for simplicity to spinning particles, we demonstrate how their constrained Hamiltonian dynamics arises for both massless and massive particles. In a semiclassical limit, this gives rise to the covariant generalization of the Bargmann-Michel-Telegdi equation; the derivation of the corresponding Wong equations for colored particles is straightforward. In a previous paper [N. Mueller and R. Venugopalan, arXiv:1701.03331.], we outlined how Berry’s phase arises in a nonrelativistic adiabatic limit for massive particles. We extend the discussion here to systems with a finite chemical potential. We discuss a path integral formulation of the relative phase in the fermion determinant that places it on the same footing as the real part. We construct the corresponding anomalous worldline axial-vector current and show in detail how the chiral anomaly appears. Our work provides a systematic framework for a relativistic kinetic theory of chiral fermions in the fluctuating topological backgrounds that generate the CME in a deconfined quark-gluon plasma. Finally, we outline some further applications of this framework in many-body systems.},
doi = {10.1103/PhysRevD.96.016023},
journal = {Physical Review D},
number = 1,
volume = 96,
place = {United States},
year = {2017},
month = {7}
}
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- Physical Review D, Vol. 99, Issue 5
Chiral kinetic theory in curved spacetime
journal, April 2019
- Liu, Yu-Chen; Gao, Lan-Lan; Mameda, Kazuya
- Physical Review D, Vol. 99, Issue 8
Dynamical Topological Transitions in the Massive Schwinger Model with a Term
journal, February 2019
- Zache, T. V.; Mueller, N.; Schneider, J. T.
- Physical Review Letters, Vol. 122, Issue 5
Wigner functions for fermions in strong magnetic fields
journal, February 2018
- Sheng, Xin-li; Rischke, Dirk H.; Vasak, David
- The European Physical Journal A, Vol. 54, Issue 2
Weyl systems: anomalous transport normally explained
journal, August 2019
- Morawetz, Klaus
- The European Physical Journal B, Vol. 92, Issue 8
Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism
journal, May 2019
- Hongo, Masaru; Hidaka, Yoshimasa
- Particles, Vol. 2, Issue 2
Quantum kinetic theory of spin polarization of massive quarks in perturbative QCD: Leading log
journal, September 2019
- Li, Shiyong; Yee, Ho-Ung
- Physical Review D, Vol. 100, Issue 5
Characteristics of chiral anomaly in view of various applications
journal, January 2018
- Fujikawa, Kazuo
- Physical Review D, Vol. 97, Issue 1
Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
journal, June 2019
- Siddique, Irfan; Wang, Ren-jie; Pu, Shi
- Physical Review D, Vol. 99, Issue 11
Quantum kinetic equation in the rotating frame and chiral kinetic theory
journal, October 2018
- Dayi, Ömer F.; Kilinçarslan, Eda
- Physical Review D, Vol. 98, Issue 8
The chiral anomaly, Berry's phase and chiral kinetic theory, from world-lines in quantum field theory
text, January 2017
- Mueller, Niklas; Venugopalan, Raju
- arXiv
Characteristics of Chiral Anomaly in View of Various Applications
text, January 2017
- Fujikawa, Kazuo
- arXiv
Nonlinear Responses of Chiral Fluids from Kinetic Theory
text, January 2017
- Hidaka, Yoshimasa; Pu, Shi; Yang, Di-Lun
- arXiv
Dynamical topological transitions in the massive Schwinger model with a θ-term
text, January 2018
- Zache, T. V.; Mueller, N.; Schneider, J. T.
- arXiv
Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
text, January 2019
- Hattori, Koichi; Hidaka, Yoshimasa; Yang, Di-Lun
- arXiv